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      SUBROUTINE <a name="CUNMTR.1"></a><a href="cunmtr.f.html#CUNMTR.1">CUNMTR</a>( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC,
     $                   WORK, LWORK, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      CHARACTER          SIDE, TRANS, UPLO
      INTEGER            INFO, LDA, LDC, LWORK, M, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      COMPLEX            A( LDA, * ), C( LDC, * ), TAU( * ),
     $                   WORK( * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="CUNMTR.20"></a><a href="cunmtr.f.html#CUNMTR.1">CUNMTR</a> overwrites the general complex M-by-N matrix C with
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">                  SIDE = 'L'     SIDE = 'R'
</span><span class="comment">*</span><span class="comment">  TRANS = 'N':      Q * C          C * Q
</span><span class="comment">*</span><span class="comment">  TRANS = 'C':      Q**H * C       C * Q**H
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  where Q is a complex unitary matrix of order nq, with nq = m if
</span><span class="comment">*</span><span class="comment">  SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
</span><span class="comment">*</span><span class="comment">  nq-1 elementary reflectors, as returned by <a name="CHETRD.28"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  SIDE    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'L': apply Q or Q**H from the Left;
</span><span class="comment">*</span><span class="comment">          = 'R': apply Q or Q**H from the Right.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  UPLO    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'U': Upper triangle of A contains elementary reflectors
</span><span class="comment">*</span><span class="comment">                 from <a name="CHETRD.43"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>;
</span><span class="comment">*</span><span class="comment">          = 'L': Lower triangle of A contains elementary reflectors
</span><span class="comment">*</span><span class="comment">                 from <a name="CHETRD.45"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TRANS   (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'N':  No transpose, apply Q;
</span><span class="comment">*</span><span class="comment">          = 'C':  Conjugate transpose, apply Q**H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  M       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of rows of the matrix C. M &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of columns of the matrix C. N &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  A       (input) COMPLEX array, dimension
</span><span class="comment">*</span><span class="comment">                               (LDA,M) if SIDE = 'L'
</span><span class="comment">*</span><span class="comment">                               (LDA,N) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">          The vectors which define the elementary reflectors, as
</span><span class="comment">*</span><span class="comment">          returned by <a name="CHETRD.61"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDA     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array A.
</span><span class="comment">*</span><span class="comment">          LDA &gt;= max(1,M) if SIDE = 'L'; LDA &gt;= max(1,N) if SIDE = 'R'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TAU     (input) COMPLEX array, dimension
</span><span class="comment">*</span><span class="comment">                               (M-1) if SIDE = 'L'
</span><span class="comment">*</span><span class="comment">                               (N-1) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">          TAU(i) must contain the scalar factor of the elementary
</span><span class="comment">*</span><span class="comment">          reflector H(i), as returned by <a name="CHETRD.71"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input/output) COMPLEX array, dimension (LDC,N)
</span><span class="comment">*</span><span class="comment">          On entry, the M-by-N matrix C.
</span><span class="comment">*</span><span class="comment">          On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDC     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array C. LDC &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK))
</span><span class="comment">*</span><span class="comment">          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LWORK   (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The dimension of the array WORK.
</span><span class="comment">*</span><span class="comment">          If SIDE = 'L', LWORK &gt;= max(1,N);
</span><span class="comment">*</span><span class="comment">          if SIDE = 'R', LWORK &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">          For optimum performance LWORK &gt;= N*NB if SIDE = 'L', and
</span><span class="comment">*</span><span class="comment">          LWORK &gt;=M*NB if SIDE = 'R', where NB is the optimal
</span><span class="comment">*</span><span class="comment">          blocksize.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">          If LWORK = -1, then a workspace query is assumed; the routine
</span><span class="comment">*</span><span class="comment">          only calculates the optimal size of the WORK array, returns
</span><span class="comment">*</span><span class="comment">          this value as the first entry of the WORK array, and no error
</span><span class="comment">*</span><span class="comment">          message related to LWORK is issued by <a name="XERBLA.94"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INFO    (output) INTEGER
</span><span class="comment">*</span><span class="comment">          = 0:  successful exit
</span><span class="comment">*</span><span class="comment">          &lt; 0:  if INFO = -i, the i-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      LOGICAL            LEFT, LQUERY, UPPER
      INTEGER            I1, I2, IINFO, LWKOPT, MI, NB, NI, NQ, NW
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Functions ..
</span>      LOGICAL            <a name="LSAME.107"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
      INTEGER            <a name="ILAENV.108"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>
      EXTERNAL           <a name="ILAENV.109"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>, <a name="LSAME.109"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Subroutines ..
</span>      EXTERNAL           <a name="CUNMQL.112"></a><a href="cunmql.f.html#CUNMQL.1">CUNMQL</a>, <a name="CUNMQR.112"></a><a href="cunmqr.f.html#CUNMQR.1">CUNMQR</a>, <a name="XERBLA.112"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          MAX
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Test the input arguments
</span><span class="comment">*</span><span class="comment">
</span>      INFO = 0
      LEFT = <a name="LSAME.122"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( SIDE, <span class="string">'L'</span> )
      UPPER = <a name="LSAME.123"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'U'</span> )
      LQUERY = ( LWORK.EQ.-1 )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     NQ is the order of Q and NW is the minimum dimension of WORK
</span><span class="comment">*</span><span class="comment">
</span>      IF( LEFT ) THEN
         NQ = M
         NW = N
      ELSE
         NQ = N
         NW = M
      END IF
      IF( .NOT.LEFT .AND. .NOT.<a name="LSAME.135"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( SIDE, <span class="string">'R'</span> ) ) THEN
         INFO = -1
      ELSE IF( .NOT.UPPER .AND. .NOT.<a name="LSAME.137"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'L'</span> ) ) THEN
         INFO = -2
      ELSE IF( .NOT.<a name="LSAME.139"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( TRANS, <span class="string">'N'</span> ) .AND. .NOT.<a name="LSAME.139"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( TRANS, <span class="string">'C'</span> ) )
     $          THEN
         INFO = -3
      ELSE IF( M.LT.0 ) THEN
         INFO = -4
      ELSE IF( N.LT.0 ) THEN
         INFO = -5
      ELSE IF( LDA.LT.MAX( 1, NQ ) ) THEN
         INFO = -7
      ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
         INFO = -10
      ELSE IF( LWORK.LT.MAX( 1, NW ) .AND. .NOT.LQUERY ) THEN
         INFO = -12
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( INFO.EQ.0 ) THEN
         IF( UPPER ) THEN
            IF( LEFT ) THEN
               NB = <a name="ILAENV.157"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>( 1, <span class="string">'<a name="CUNMQL.157"></a><a href="cunmql.f.html#CUNMQL.1">CUNMQL</a>'</span>, SIDE // TRANS, M-1, N, M-1,
     $                      -1 )
            ELSE
               NB = <a name="ILAENV.160"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>( 1, <span class="string">'<a name="CUNMQL.160"></a><a href="cunmql.f.html#CUNMQL.1">CUNMQL</a>'</span>, SIDE // TRANS, M, N-1, N-1,
     $                      -1 )
            END IF
         ELSE
            IF( LEFT ) THEN
               NB = <a name="ILAENV.165"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>( 1, <span class="string">'<a name="CUNMQR.165"></a><a href="cunmqr.f.html#CUNMQR.1">CUNMQR</a>'</span>, SIDE // TRANS, M-1, N, M-1,
     $                      -1 )
            ELSE
               NB = <a name="ILAENV.168"></a><a href="ilaenv.f.html#ILAENV.1">ILAENV</a>( 1, <span class="string">'<a name="CUNMQR.168"></a><a href="cunmqr.f.html#CUNMQR.1">CUNMQR</a>'</span>, SIDE // TRANS, M, N-1, N-1,
     $                      -1 )
            END IF
         END IF
         LWKOPT = MAX( 1, NW )*NB
         WORK( 1 ) = LWKOPT
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( INFO.NE.0 ) THEN
         CALL <a name="XERBLA.177"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="CUNMTR.177"></a><a href="cunmtr.f.html#CUNMTR.1">CUNMTR</a>'</span>, -INFO )
         RETURN
      ELSE IF( LQUERY ) THEN
         RETURN
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Quick return if possible
</span><span class="comment">*</span><span class="comment">
</span>      IF( M.EQ.0 .OR. N.EQ.0 .OR. NQ.EQ.1 ) THEN
         WORK( 1 ) = 1
         RETURN
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( LEFT ) THEN
         MI = M - 1
         NI = N
      ELSE
         MI = M
         NI = N - 1
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( UPPER ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Q was determined by a call to <a name="CHETRD.200"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a> with UPLO = 'U'
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="CUNMQL.202"></a><a href="cunmql.f.html#CUNMQL.1">CUNMQL</a>( SIDE, TRANS, MI, NI, NQ-1, A( 1, 2 ), LDA, TAU, C,
     $                LDC, WORK, LWORK, IINFO )
      ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Q was determined by a call to <a name="CHETRD.206"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a> with UPLO = 'L'
</span><span class="comment">*</span><span class="comment">
</span>         IF( LEFT ) THEN
            I1 = 2
            I2 = 1
         ELSE
            I1 = 1
            I2 = 2
         END IF
         CALL <a name="CUNMQR.215"></a><a href="cunmqr.f.html#CUNMQR.1">CUNMQR</a>( SIDE, TRANS, MI, NI, NQ-1, A( 2, 1 ), LDA, TAU,
     $                C( I1, I2 ), LDC, WORK, LWORK, IINFO )
      END IF
      WORK( 1 ) = LWKOPT
      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="CUNMTR.221"></a><a href="cunmtr.f.html#CUNMTR.1">CUNMTR</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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